The locus of the foot of perpendicular drawn from the centre of the ellipse x2 + 3y2 = 6 on any tangent to it is

1
(x2 – y2)2 = 6x2 + 2y2
2
(x2 – y2)2 = 6x2 – 2y2
3
(x2 + y2)2 = 6x2 + 2y2 
4
(x2 + y2)2 = 6x2 – 2y2

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